Maximum entropy and minimum relative entropy in performance evaluation of digital communication systems

Author

Solms, F. ; Van Rooyen, P.G.W. ; Kunicki, J.S.

Author_Institution

Dept. of Appl. Math., Rand Afrikaans Univ., Johannesburg, South Africa

Volume

142

Issue

4

fYear

1995

fDate

8/1/1995 12:00:00 AM

Firstpage

250

Lastpage

254

Abstract

The authors show that the Gauss-quadrature rule (GQR) method, which is widely used in performance evaluation of digital communication systems, fails under certain frequently encountered conditions. The maximum entropy method (MEM), on the other hand, continues to give reliable results for most of these problems. In cases where the MEM becomes numerically unstable before it achieves sufficient accuracy the authors incorporate a prior estimate of the error probability distribution function (PDF) in the minimum relative entropy (MREM) algorithm in order to improve on the accuracy of their results. They compare the MEM and MREM results to those obtained with the GQR method for AWGN channels with single Rayleigh-path-faded BPSK signals to the P-branch diversity systems. In both cases the GQR method fails for large values of the SNR,

Keywords

Gaussian channels; Rayleigh channels; digital communication; diversity reception; error statistics; fading; maximum entropy methods; minimum entropy methods; phase shift keying; AWGN channels; Gauss-quadrature rule method; P-branch diversity systems; digital communication systems; error probability distribution function; maximum entropy; minimum relative entropy; performance evaluation; prior estimate; single Rayleigh-path-faded BPSK signals;

fLanguage

English

Journal_Title

Communications, IEE Proceedings-

Publisher

iet

ISSN

1350-2425

Type

jour

DOI

10.1049/ip-com:19951928

Filename

466757